दोन उमेदवारांमधील निवडणुकीत 12% मतदारांनी मतदान केले नाही. एकूण मतांपैकी 68% मते मिळवून विजेत्याने त्याच्या प्रतिस्पर्ध्याचा 2880 मतांनी पराभव केला. निवडणुकीत एकूण किती मतदारांनी मतदान केले?

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SSC CGL 2022 Tier-I Official Paper (Held On : 02 Dec 2022 Shift 3)
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  1. 5280
  2. 8000
  3. 4000
  4. 6000

Answer (Detailed Solution Below)

Option 1 : 5280
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Detailed Solution

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दिलेले आहे:

दोन उमेदवारांमधील निवडणुकीत 12% मतदारांनी मतदान केले नाही.

एकूण मतांपैकी 68% मते मिळवून विजेत्याने त्याच्या प्रतिस्पर्ध्याचा 2880 मतांनी पराभव केला.

गणना:

समजा एकूण मतदार 100a आहे

म्हणून, मतदान करणारे एकूण मतदार = 88a

आता,

विजेत्याला 100a × 68% मते मिळाली

⇒ 68a

म्हणून, पराभूत उमेदवाराला 88a - 68a मते मिळाली

⇒ 20a

प्रश्नानुसार,

68a - 20a = 2880

⇒ 48a = 2880

⇒ a = 60

म्हणून, मतदान करणाऱ्या मतदारांची संख्या = 60 × 88

⇒ 5280

निवडणुकीत मतदान करणाऱ्या एकूण मतदारांची संख्या 5280 होती.

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